Search a number
-
+
9713285136 = 24324321912
BaseRepresentation
bin10010000101111010…
…01111100000010000
3221001221021000021100
421002331033200100
5124343100111021
64243501224400
7462463363362
oct110275174020
927057230240
109713285136
114134994985
121a70b62100
13bba4915c9
1468204ad32
153bcb25626
hex242f4f810

9713285136 has 135 divisors (see below), whose sum is σ = 27977061567. Its totient is φ = 3145907520.

The previous prime is 9713285129. The next prime is 9713285137. The reversal of 9713285136 is 6315823179.

The square root of 9713285136 is 98556.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 9713285091 and 9713285100.

It is not an unprimeable number, because it can be changed into a prime (9713285137) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50854801 + ... + 50854991.

Almost surely, 29713285136 is an apocalyptic number.

9713285136 is the 98556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9713285136

9713285136 is an abundant number, since it is smaller than the sum of its proper divisors (18263776431).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9713285136 is a wasteful number, since it uses less digits than its factorization.

9713285136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 239 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The cubic root of 9713285136 is about 2133.6444280263.

It can be divided in two parts, 9713 and 285136, that added together give a square (294849 = 5432).

The spelling of 9713285136 in words is "nine billion, seven hundred thirteen million, two hundred eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 191 258 344 382 387 516 573 688 764 774 1032 1146 1528 1548 1719 1849 2064 2292 3056 3096 3438 3698 4584 5547 6192 6876 7396 8213 9168 11094 13752 14792 16426 16641 22188 24639 27504 29584 32852 33282 36481 44376 49278 65704 66564 72962 73917 88752 98556 109443 131408 133128 145924 147834 197112 218886 266256 291848 295668 328329 353159 394224 437772 583696 591336 656658 706318 875544 1059477 1182672 1313316 1412636 1568683 1751088 2118954 2626632 2825272 3137366 3178431 4237908 4706049 5253264 5650544 6274732 6356862 8475816 9412098 12549464 12713724 14118147 16951632 18824196 25098928 25427448 28236294 37648392 50854896 56472588 67453369 75296784 112945176 134906738 202360107 225890352 269813476 404720214 539626952 607080321 809440428 1079253904 1214160642 1618880856 2428321284 3237761712 4856642568 9713285136